Question

Round to the nearest minute as needed and find a cute angle A

Answer 1

`80^059^{^(\prime)}`

1) Considering that we need to find out the value of angle A. We need to find out the arctangent of angle A, so let's calculate it:

`\begin{gathered} \tan (A)=6.31 \\ (A)=\tan ^(-1)(6.31) \\ (A)=80.9947 \end{gathered}`

2) Now we need to write it rounding it off to the nearest minute as we were told:

`80.99473685^0=80^059^(\prime)41^(\doubleprime)`

Note that, after the dot, we have .9947 subtracting it from .60, we have 80degrees 59 minutes and 41 seconds so we can answer that as

`80^059^{^(\prime)}`